The point P (2,-4) is reflected about the line x = 0 to get the image Q. Find the co-ordinates of Q.

Answer

To find the coordinates of the image point Q when point P (2, -4) is reflected about the line x = 0 (the y-axis), we can follow these steps:

### Step 1: Identify the coordinates of point P
The coordinates of point P are given as (2, -4).

### Step 2: Understand the reflection process
When a point is reflected across the line x = 0 (the y-axis), the y-coordinate remains the same, while the x-coordinate changes its sign.

### Step 3: Apply the reflection rule
For point P (2, -4):
- The x-coordinate is 2. When reflected across the y-axis, it becomes -2.
- The y-coordinate remains -4.

### Step 4: Write the coordinates of point Q
Thus, the coordinates of point Q, the image of point P after reflection, are (-2, -4).

### Final Answer
The coordinates of point Q are (-2, -4).

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